The burial ground in question is attached to the disused Wellwynd church in Airdrie. The church was established on that spot in 1791 and has not been used as a place of worship for many years now. Way back in the 1960s (or about that time) a portion of the burial ground was leveled and made into a car park. Again, as far as I know, this was done when the church was still in use and the burial ground owned by said church. All the headstones were removed but the bodies left in place. No record is know to exist of who was buried in that portion of the churchyard.
It is this car park that is now being dug-up and North Lanarkshire Council, the present owners, has employed a specialist company to remove any bones that are found. They will all be re-interred at Rydenmains (New Monkland cemetery) and a church of Scotland minister will be in attendance to say a prayer.
NLC are improving the area and upgrading the disused church, I think it is to be some sort of leasure centre but don't quote me! At the moment it is almost a ruin, a great pity as it has been there since 1847 and is a fine building.
The portion of burial ground in front of the church is all that has survived and this will be tidied-up and security cameras installed to deter vandals. (Rather late in the day in my opinion). I have a list of lair owners and the MIs from what's left of the stones if anyone would like a look-up.